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449444944 = 241331431621
BaseRepresentation
bin11010110010011…
…111110001010000
31011022201011120001
4122302133301100
51410024214234
6112333055344
714065135054
oct3262376120
91138634501
10449444944
11210777703
12106627554
1372164170
1443995c64
15296cdd14
hex1ac9fc50

449444944 has 80 divisors (see below), whose sum is σ = 991158784. Its totient is φ = 195955200.

The previous prime is 449444939. The next prime is 449444951.

449444944 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 449444894 and 449444903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276454 + ... + 278074.

Almost surely, 2449444944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 449444944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495579392).

449444944 is an abundant number, since it is smaller than the sum of its proper divisors (541713840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

449444944 is a wasteful number, since it uses less digits than its factorization.

449444944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716 (or 1710 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 46.

The square root of 449444944 is about 21200.1166034529. The cubic root of 449444944 is about 765.9942326530.

The spelling of 449444944 in words is "four hundred forty-nine million, four hundred forty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 26 31 43 52 62 86 104 124 172 208 248 344 403 496 559 688 806 1118 1333 1612 1621 2236 2666 3224 3242 4472 5332 6448 6484 8944 10664 12968 17329 21073 21328 25936 34658 42146 50251 69316 69703 84292 100502 138632 139406 168584 201004 277264 278812 337168 402008 557624 653263 804016 906139 1115248 1306526 1812278 2160793 2613052 3624556 4321586 5226104 7249112 8643172 10452208 14498224 17286344 28090309 34572688 56180618 112361236 224722472 449444944